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Extra-Dimensional Axion Expectations
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abstract
Axions arising as modes of higher-dimensional gauge fields are known to offer a compelling solution to the axion quality problem and to naturally arise in string theory. In this context, it is interesting to ask how we would interpret an experimental measurement of the axion decay constant $f$. I give several arguments for, as well as concrete examples in string theory of, the existence in such a model of an axion string with tension of order $2\pi S_\mathrm{inst} f^2$, where $S_\mathrm{inst}$ is the instanton action. Furthermore, in models of this type axion strings are typically fundamental objects (rather than solitons), whose tension is at or above the fundamental cutoff of the theory. As a result, I argue that for an extra-dimensional QCD axion, it is likely that the fundamental cutoff scale lies at most two orders of magnitude above $f$. In addition to these core arguments, this paper begins with a self-contained introduction to the physics of extra-dimensional axions and ends with some comments on axion physics in relation to chiral fermions.
Forward citations
Cited by 5 Pith papers
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The Dark Dimension meets the Axiverse
Dark dimension dark matter can evade decay constraints if N≳50 axion KK towers share the tower energy, diluting Standard Model energy injection by roughly 1/N.
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On the Gravitational Origin of the QCD Axion
Derivative-coupled gravitational axions cannot solve the strong CP problem; Weyl-invariant Einstein-Cartan gravity is identified as the only promising framework for a gravitational QCD axion.
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Suppressing Extra-Dimensional Axion Isocurvature Dynamically
Radion dynamics in warped 5D models enhance the axion decay constant during inflation, satisfying CMB isocurvature bounds at higher Hubble scales while restoring the QCD window afterward.
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The Minimal High-Quality QCD Axion
A flat-interval 5D U(1) Wilson-line axion with 4D KSVZ/DFSZ anomaly sector supplies exponential quality protection while remaining minimal.
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Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter
The Hopf invariants of 3D topological insulators are identified with Dixmier-Douady invariants of tensor Berry connections, which quantize magnetoelectric and shift-current responses.
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